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30552404352 = 2731713813389
BaseRepresentation
bin11100011101000100…
…001011000110000000
32220212020201221200120
4130131010023012000
51000032403414402
622011404020240
72131055103111
oct343504130600
986766657616
1030552404352
1111a59043658
125b07b31680
132b5b967a92
14169b962208
15bdc3943bc
hex71d10b180

30552404352 has 128 divisors (see below), whose sum is σ = 86016232800. Its totient is φ = 9575301120.

The previous prime is 30552404347. The next prime is 30552404413. The reversal of 30552404352 is 25340425503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9013474 + ... + 9016862.

Almost surely, 230552404352 is an apocalyptic number.

30552404352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30552404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008116400).

30552404352 is an abundant number, since it is smaller than the sum of its proper divisors (55463828448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30552404352 is a wasteful number, since it uses less digits than its factorization.

30552404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 30552404352 its reverse (25340425503), we get a palindrome (55892829855).

The spelling of 30552404352 in words is "thirty billion, five hundred fifty-two million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1381 1632 2176 2762 3264 3389 4143 5524 6528 6778 8286 10167 11048 13556 16572 20334 22096 23477 27112 33144 40668 44192 46954 54224 57613 66288 70431 81336 88384 93908 108448 115226 132576 140862 162672 172839 176768 187816 216896 230452 265152 281724 325344 345678 375632 433792 460904 530304 563448 650688 691356 751264 921808 1126896 1301376 1382712 1502528 1843616 2253792 2765424 3005056 3687232 4507584 4680209 5530848 7374464 9015168 9360418 11061696 14040627 18720836 22123392 28081254 37441672 56162508 74883344 79563553 112325016 149766688 159127106 224650032 238690659 299533376 318254212 449300064 477381318 599066752 636508424 898600128 954762636 1273016848 1797200256 1909525272 2546033696 3819050544 5092067392 7638101088 10184134784 15276202176 30552404352